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Finding the Third Proportional to 2,032.69 and 4,454.62

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Solution

The third proportional to 2,032.69 and 4,454.62 is: 9,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.69 : 4,454.62 = 4,454.62 : x
  2. Step 2: Convert to fraction form
    2,032.69/4,454.62 = 4,454.62/x
  3. Step 3: Cross multiply
    2,032.69x = 4,454.62 × 4,454.62
  4. Step 4: Simplify right side
    2,032.69x = 19,843,677.37
  5. Step 5: Solve for x
    x = 19,843,677.37/2,032.69
  6. Step 6: Final answer
    x = 9,762.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.